3.3.4 Practice: Angle Relationships in Triangles

Practice

Math 8 Sem 2

Tips for Success
Read the assignment carefully and make sure you answer each part of the question or questions.
Check your work when you're done.
Your Assignment
Answer the questions to find the measures of ∠2 and ∠3.


1. What is the measure of ∠4? Explain how you know.


Write your answer in the space below.


2. What is the sum of the measures of the angles in a triangle?


Write your answer in the space below.


3. ∠1 is in a triangle with ∠4 and a 53° angle. What is the sum of the measures of those two angles?


Write your answer in the space below.


4. What is the measure of ∠1? Explain.


Write your answer in the space below.

5. Find the measure of ∠2. Explain how you found its measure.


Write your answer in the space below.


6. What is the measure of ∠3? Explain.


Write your answer in the space below.

Answer:

3

Step-by-step explanation:

√7a-10 - √2a+5=0

√7a-10 = √2a+5

7a-10 = 2a+5

5a = 15

a = 3

Answer:

4.33 i think im not to sure

Step-by-step explanation:

math

Answer:

1. Construct the perpendicular bisector of one side of triangle.

2. Construct the perpendicular bisector of another side.

3. Where they cross is the center of the Circumscribed circle.

4. Place compass on the center point, adjust its length to reach any corner of the triangle, and draw your Circumscribed circle!

There are four steps for constructing a circle that is circumscribed about a triangle.

A triangle is a three-sided polygon with three angles. The total of the triangle's angles is 180 degrees.

The steps for constructing a circle that is circumscribed about a triangle are as follows;

1. Draw the perpendicular bisector of one of the triangle's sides.

2. Create another side's perpendicular bisector.

3. The intersection is the circumscribed circle's center.

4. Place the compass on the center point, change the length of the compass to reach any corner of the triangle, and draw your circumscribed circle.

Hence, the above steps help to construct a circle that is circumscribed about a triangle.

To learn more about the triangle, refer;

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[tex]0.3\cdot0.3\cdot0.3=0.0027[/tex]

Hope this helps.

9514 1404 393

Answer:

  $43.75

Step-by-step explanation:

The amount of the markup is ...

  $25 × 0.75 = $18.75

The final cost to the customer is ...

  selling price = purchase price + markup

  = $25.00 + 18.75 = $43.75

They charge customers $43.75 for a videogame.

Answer:

please put a picture so i can awnser

Step-by-step explanation:

Answer:

where is the picture ?

Step-by-step explanation:

Answer:

Answer:

(2x−1)(2x−1)(2x−1)(2x−1)

Step-by-step explanation:

Factor 16x4−32x3+24x2−8x+1

16x4−32x3+24x2−8x+1

=(2x−1)(2x−1)(2x−1)(2x−1)

Answer:

432

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

8x² + 5x + 5

x = 7

Step 2: Evaluate

Answer:

to convert an improper fraction to a mixed fraction, follow these steps:

-divide the numerator by the denominator.

-write down the whole number answer.

-then write down any remainder above the denominator.

Step-by-step explanation:

Answer:

Divide the numerator by the denominator. The quotient is the whole number, and the remainder is the other fraction.

Example: 46/17

46/17= 2 r 12

2 is the whole number, and 12/17 is the fraction next to it.

For question 1 and 2, you should keep in mind that the sum of all angles in a triangle is 180°. 1. If the measure of one angle of a triangle is 90 degrees, you can assume that the sum of the other two triangles should be 90 degrees. Because

180 - 90 = 90

The sum of the three angles of any triangle is equal to 180 degrees.

Angle 2=127 because 180-53=127.

Angle 3=23 because 180-30-127=53

Angle 1=37 because 90-53=37

Angle 4=90

Angle 1+4=127

The measure of ∠1 is 125° .

Next x+64=110. The reason why you can do this is because ∠R is going to be an opposite interior angle. Subtract 64 from the left and right sides. x=46

Answer:

AP EX

Step-by-step explanation:

Answer:

8,20,32

Step-by-step explanation:

8

20

32

You would do 2 x 4 and so on

Answer:

8,20,32

Step-by-step explanation:

multiply 4 times each number in the x section

Answer:

hexagon, regular polygon

Answer:

i = 2

Step-by-step explanation:

-8(i - 6) = 32

-8i + 48 = 32

-8i = -16

i = 2

Answer:

Part A

The expression in terms of 't' representing the number of radians Josh has swept since the ride started is 3·t rad

Part B

The time to complete one revolution is (2·π/3) minutes

Part C.

The function 'f' that determines Josh's height above the ground (in feet) in terms of 't' is, f(t) = 44·sin(3·t + π/2) + 50

Step-by-step explanation:

The radius of the Ferris wheel = 44 foot

The height of the Ferris wheel above the ground = 50 feet

The direction of rotation of the Ferris wheel = CCW

The angular speed of the Ferris wheel, ω = 3 radians per minute

The position from which Josh boards the Ferris wheel = 3-O'Clock

The number of minutes since the ride started started = t

Part A

The expression in terms of 't' to represent the number of radians Josh has swept since the ride started = ω × t = 3 × t rad = 3·t rad

Part B

One complete revolution = 2·π radians

The time to complete one revolution = 2·π/ω = 2·π/(3 rad/minute) = (2·π/3) minutes =  [tex]0.\overline{6}[/tex]·π minutes ≈ 2.0943951 minutes

Part C.

The height, 'h', of the Ferris wheel is given by the following sinusoidal relation

f(t) = A·sin(B·t + C) + D

Where;

A = The amplitude = The radius of the Ferris wheel = 44 ft.

The period, T = (2·π/3) minute

B = 2·π/T = 3

t = The time in minutes

D = The Ferris wheel's height above ground = 50 ft.

C = The horizontal shift = π/2 (Josh boards the Ferris wheel at t = 3-O'Clock which is the midline, a rotation of π/2 from the lowermost end of the Ferris wheel)

Therefore the function that determines Josh's height above the ground (in feet) in terms of 't' is presented as follows;

f(t) = 44·sin(3·t + π/2) + 50

Answer:

x is equal to 11...........

90°-35°= 55°

Mark as brainlist

the answer is on the pictures

sorry if their wrong

x=1/2 (or 1)

y=3/4

Answer:

6. >

7. <

8. <

9. <

10. <

all the positive integers are valued greater than the negative integers and 0 is not a integer so the positive one will be greater in all the cases

The solution is Option C.

The number of ways 3 positions can be filled by the 12 students is given by combinations where ¹²C₃ = ( 12 x 11 x 10 ) / 3 x 2 x 1

What are Combinations?

The number of ways of selecting r objects from n unlike objects is:

ⁿCₓ = n! / ( ( n - x )! x! )

where

n = total number of objects

x = number of choosing objects from the set

Given data ,

Let the equation be represented as A

Now , the value of A is

The total number of students n = 12 students

The number of positions in the council x = 3 positions

So , the number of ways the 3 positions can be filled by 12 students is calculated by combinations

where n = 12 and x = 3

ⁿCₓ = n! / ( ( n - x )! x! )

Substituting the values in the equation , we get

¹²C₃ = ( 12! / ( 12 - 3 )! 3! )

On simplifying the equation , we get

¹²C₃ = ( 12! / 9! 3! )

And ,

¹²C₃ = ( 12 x 11 x 10 x 9! / 9! 3! )

¹²C₃ = ( 12 x 11 x 10 ) / 3!

¹²C₃ = ( 12 x 11 x 10 / 3 x 2 x 1 )

¹²C₃ = 220 ways

Hence , the number of ways the 3 positions can be filled by the 12 students is 220 ways

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Answer:

5.7

Step-by-step explanation:

Im not so sure if this is the correct answer but i hope if helps! <3

Responder:

300 €

Explicación paso a paso:

Dado que:

El peso del paquete de 5 kg enviado a una distancia de 60 km es de 9 €

Tomando el producto:

5 * 60 = 9 €

300 kgkm = 9 €

1 kg · km = 9/300 €

= 0,03 €

Para un paquete de 50 kg, enviado a una distancia de 200 km:

50 * 200 = 10000 kgkm

Costo de envío de paquete:

Precio por kgkm = 0,03 €

10000 * 0,03 € = 300 €

Answer:

$15.02

Step-by-step explanation:

Given data

Total cost= $16

tax= 6.5%

let the actual cost of the slippers be x

6.5/100*x+ x= 16

0.065x+x= 16

1.065x= 16

divide both sides by 1.065

x= 16/1.065

x= 15.02

Hence the actual cost of the slippers is $15.02

Answer: 1/15

Step-by-step explanation:

An hour is 60 minutes.  Thus, simply do 60/4 to get 15, and that the fraction is 1/15.

Hope it helps <3 :)

Answer:

1/15

Step-by-step explanation:

1 hour = 60 minutes

[tex]\frac{4}{60}=\frac{1}{15}[/tex]